APR Calculator
Calculate the true annual percentage rate of a loan including all fees and costs.
Quick Answer
APR (Annual Percentage Rate) is the yearly cost of a loan including interest plus fees, expressed as a percentage. Unlike the nominal interest rate, APR includes origination fees, points, and closing costs, which is why the federal Truth in Lending Act (TILA) requires lenders to disclose APR on every consumer loan.
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Include origination fees, closing costs, points, etc.
True APR
0%
How APR Works
APR (Annual Percentage Rate) is the true yearly cost of borrowing money, expressed as a percentage that includes both the interest rate and mandatory fees. The Consumer Financial Protection Bureau (CFPB) defines APR as the cost of credit expressed as a yearly rate, including interest, points, and certain other charges. Under the federal Truth in Lending Act (TILA), all lenders are required to disclose the APR to borrowers, enabling standardized comparisons across loan offers.
While the interest rate only reflects the cost of borrowing the principal, APR captures the full picture by rolling in origination fees, closing costs, discount points, and other lender charges. For example, a mortgage advertised at 6.5% interest with $4,000 in fees on a $300,000 loan might have an APR of 6.72%. This makes APR the most reliable metric for comparing loans from different lenders. Use this calculator alongside our mortgage calculator or loan calculator to understand the true cost of any borrowing decision.
How APR Is Calculated
APR is computed by finding the interest rate that equates the present value of all monthly payments to the net loan proceeds (loan amount minus fees). The formula is solved iteratively:
(P − Fees) = ∑ PMT / (1 + APR/12)k for k = 1 to n
Where:
- P = principal loan amount
- Fees = total upfront fees (origination, closing costs, etc.)
- PMT = monthly payment based on the stated interest rate
- APR = annual percentage rate (solved using Newton-Raphson iteration)
- n = total number of monthly payments
Worked example: A $20,000 personal loan at 6% stated rate with a 3% origination fee ($600) over 5 years. Monthly payment at 6% = $386.66. Net proceeds = $19,400. Solving for APR: the rate that makes the present value of 60 payments of $386.66 equal $19,400 is 7.15%. The 3% origination fee adds 1.15 percentage points to the effective annual cost.
Key APR Terms You Should Know
- Nominal interest rate: The stated rate on the loan, without accounting for fees or compounding. Also called the "note rate."
- APR (Annual Percentage Rate): The effective annual cost including interest plus mandatory fees. Always equal to or higher than the nominal rate.
- APY (Annual Percentage Yield): Used for deposits and savings, APY accounts for compounding frequency. A 5% APR compounded monthly yields an APY of 5.12%.
- Origination fee: A one-time charge by the lender for processing the loan, typically 0.5-5% of the loan amount.
- Discount points: Upfront fees paid to the lender (each point = 1% of loan) to reduce the interest rate. One point on a $300,000 mortgage costs $3,000 and typically reduces the rate by 0.25%.
APR vs Interest Rate by Loan Type
The gap between stated interest rate and APR varies significantly by loan type. According to Federal Reserve data, here are typical ranges as of early 2026:
| Loan Type | Typical Interest Rate | Typical APR | APR Gap |
|---|---|---|---|
| 30-Year Fixed Mortgage | 6.5-7.0% | 6.7-7.3% | 0.15-0.30% |
| Auto Loan (New Car) | 5.5-7.5% | 5.6-7.8% | 0.1-0.3% |
| Personal Loan | 8-24% | 10-28% | 1-4% |
| Credit Card | N/A | 20-28% | Rate = APR (no upfront fees) |
| Student Loan (Federal) | 5.5% | 5.5-6.0% | 0-0.5% |
Practical APR Examples
Example 1 -- Comparing two mortgage offers: Lender A offers 6.5% with $3,000 in fees on a $300,000 30-year mortgage (APR = 6.58%). Lender B offers 6.75% with $500 in fees (APR = 6.77%). Despite the higher stated rate, Lender A still has the lower APR and costs less over the full term. But if you plan to sell after 5 years, Lender B may cost less because the $3,000 in fees is spread over fewer years.
Example 2 -- Personal loan with origination fee: You borrow $15,000 at 10% stated rate with a 5% origination fee ($750) for 3 years. Your monthly payment is $484 based on the full $15,000, but you only receive $14,250. The APR is 13.46%, significantly higher than the stated 10%. Use our personal loan calculator to see the full payment schedule.
Example 3 -- Auto loan with dealer markup: A dealer offers a $30,000 auto loan at 4.9% for 60 months with a $500 documentation fee. The APR is 5.24%. A credit union offers 5.5% with no fees (APR = 5.50%). Despite the higher rate, the dealer loan has the lower APR and saves $230 over the life of the loan.
Tips for Using APR to Save Money
- Always compare APR, not just interest rates: A loan with a lower rate but higher fees can cost more than one with a higher rate and no fees. APR normalizes this comparison.
- Consider your actual holding period: APR assumes you keep the loan for its full term. If you plan to refinance or sell within 3-5 years, upfront fees have a disproportionate impact. In that case, minimize fees even if the rate is slightly higher.
- Negotiate fees, not just the rate: Many origination fees, processing fees, and closing costs are negotiable. Reducing a 2% origination fee to 1% on a $250,000 loan saves $2,500 and lowers your APR by approximately 0.10%.
- Watch for variable APR credit cards: Credit card APRs are variable and tied to the prime rate. When the Federal Reserve raises rates, your credit card APR increases too. The average credit card APR reached 22.8% in 2025 according to the Federal Reserve.
- Check for APR caps on adjustable-rate loans: ARMs may have low introductory APRs that reset higher. Ensure you know the lifetime cap, periodic cap, and the index plus margin used to calculate rate adjustments.